A072756 -id:A072756 - cp's OEIS frontend

A072757 Complement of A072756.

3, 6, 7, 12, 13, 15, 16, 21, 25, 27, 28, 30, 33, 34, 36, 39, 43, 46, 48, 52, 55, 57, 60, 61, 63, 66, 67, 70, 73, 75, 76, 79, 81, 84, 87, 88, 93, 96, 97, 102, 103, 106, 108, 111, 115, 117, 120, 123, 124, 127, 129, 133, 135, 136, 138, 141, 142, 147, 148, 150, 151, 156

Offset: 0

Clark Kimberling, Jul 09 2002

nonn

Cf. A072756, A072758.

Seems to be A026344(n+1) + 1.

A104463 Complement of {A072756(n): n>=2}.

Original entry on oeis.org

0, 1, 3, 6, 7, 12, 13, 15, 16, 21, 25, 27, 28, 30, 33, 34, 36, 39, 43, 46, 48, 52, 55, 57, 60, 61, 63, 66, 67, 70, 73, 75, 76, 79, 81, 84, 87, 88, 93, 96, 97, 102, 103, 106, 108, 111, 115, 117, 120, 123, 124, 127, 129, 133, 135, 136, 138, 141, 142, 147, 148, 150, 151

Offset: 0

Clark Kimberling, Mar 08 2005

nonn

			The sequences a(n)=A072756(n) and b(n)=A104463(n) are jointly defined:
a(n) = least positive integer not a(k) + Floor(a(k)/2) for k<n. Thus
a(0)=0, b(0)=0, a(1)=1, b(1)=1, a(2)=2, b(2)=3, a(3)=4, b(4)=6,...

Cf. A072756, A104464.

A104463(n)=s(n)+Floor(s(n)/2), where s(n)=A072756(n).

a(n)=A072757(n-2), n>1. [From R. J. Mathar, Aug 28 2008]

A104464 Permutation of natural numbers based on A072756 and A104463.

Original entry on oeis.org

1, 2, 3, 4, 6, 5, 7, 8, 12, 9, 13, 10, 15, 11, 16, 14, 21, 17, 25, 18, 27, 19, 28, 20, 30, 22, 33, 23, 34, 24, 36, 26, 39, 29, 43, 31, 46, 32, 48, 35, 52, 37, 55, 38, 57, 40, 60, 41, 61, 42, 63, 44, 66, 45, 67, 47, 70, 49, 73, 50, 75, 51, 76, 53, 79, 54, 81, 56, 84, 58, 87, 59

Offset: 1

Clark Kimberling, Mar 08 2005

nonn

Apparently a(n) = A072758(n). - R. J. Mathar, Jul 09 2011

Cf. A072756, A072758, A104463.

Let b(n)=A072756(n) and c(n)=A104463(n). Then this sequence is given by c(1), b(2), c(2), b(3), c(3), b(4), c(4), ...

A072758 a(0)=0, a(1)=1 and for k>1, a(2k)=least positive integer not a(j) for j<2k; and a(2k+1)=a(2k)+Floor(a(2k)/2).

Original entry on oeis.org

0, 1, 2, 3, 4, 6, 5, 7, 8, 12, 9, 13, 10, 15, 11, 16, 14, 21, 17, 25, 18, 27, 19, 28, 20, 30, 22, 33, 23, 34, 24, 36, 26, 39, 29, 43, 31, 46, 32, 48, 35, 52, 37, 55, 38, 57, 40, 60, 41, 61, 42, 63, 44, 66, 45, 67, 47, 70, 49, 73, 50, 75, 51, 76, 53, 79, 54, 81, 56, 84, 58, 87

Offset: 0

Clark Kimberling, Jul 09 2002

nonn

A permutation of the nonnegative integers; a(2n)=A072756(n+1), a(2n+1)=A072757(n-1) for n>=1.

Cf. A072756, A072757, A072759.

cp's OEIS Frontend

A072757 Complement of A072756.

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A104463 Complement of {A072756(n): n>=2}.

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A104464 Permutation of natural numbers based on A072756 and A104463.

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Formula

A072758 a(0)=0, a(1)=1 and for k>1, a(2k)=least positive integer not a(j) for j<2k; and a(2k+1)=a(2k)+Floor(a(2k)/2).

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